Q: What are the factor combinations of the number 222,013,007?

 A:
Positive:   1 x 22201300747 x 4723681277 x 80149113019 x 17053
Negative: -1 x -222013007-47 x -4723681-277 x -801491-13019 x -17053


How do I find the factor combinations of the number 222,013,007?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 222,013,007, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 222,013,007
-1 -222,013,007

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 222,013,007.

Example:
1 x 222,013,007 = 222,013,007
and
-1 x -222,013,007 = 222,013,007
Notice both answers equal 222,013,007

With that explanation out of the way, let's continue. Next, we take the number 222,013,007 and divide it by 2:

222,013,007 ÷ 2 = 111,006,503.5

If the quotient is a whole number, then 2 and 111,006,503.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 222,013,007
-1 -222,013,007

Now, we try dividing 222,013,007 by 3:

222,013,007 ÷ 3 = 74,004,335.6667

If the quotient is a whole number, then 3 and 74,004,335.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 222,013,007
-1 -222,013,007

Let's try dividing by 4:

222,013,007 ÷ 4 = 55,503,251.75

If the quotient is a whole number, then 4 and 55,503,251.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 222,013,007
-1 222,013,007
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

14727713,01917,053801,4914,723,681222,013,007
-1-47-277-13,019-17,053-801,491-4,723,681-222,013,007

More Examples

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